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3 years ago

Solutions for 12 – x2 = 0?

2 answers:

6 0

Answer: x = ± 2 √3 ; or, write as: x = ± 3.464 .
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Given: 12 – x² = 0 ;

Multiply BOTH side by "-1" ;
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-1 (12 – x² = 0) ;

to get:

-12 + x² = 0 ;

Rewrite as:

x² - 12 = 0 ;

Add "12" to both sides; to get:

x² = 12

Take the square root of each side:

√(x²) = ±√(12)

x = ± √(12)
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√(12) = √(4) * √(3) = 2 √(3)

√(12) = 3.4641016151377546 ; round to: 3.464 .
____________________________________________________
x = ± √(12) ;
____________________________________________________
x = ± 2 √3 ; or, write as: x = ± 3.464 .
____________________________________________________

Rama09 [41]3 years ago

4 0

Answer:

Step-by-step explanation:

The answer is A X= 2/3 and x=-2/3

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Number five please help!

jeka57 [31]

Answer:

y+4 = 2(x+3)

Step-by-step explanation:

We have 2 points so we can find the slope

m = (y2-y1)/ (x2-x1)

= (2--4)/(0--3)

= (2+4)/(0+3)

= 6/3

= 2

We want to use the point slope form of the equation for a line

y-y1 = m(x-x1)

We know the slope =2 and the point (0,2)

y-2 = 2(x-0)

y-2 = 2x

We could also use the other point (-3,-4)

y--4 = 2(x--3)

y+4 = 2(x+3)

4 0

4 years ago

alpha and beta are the zeros of the polynomial x^2 -(k +6)x +2(2k -1). Find the value of k if alpha + beta = 1/2 alpha beta(ITS

serious [3.7K]

Answer:

$k=\frac{-11}{2}$ .

Step-by-step explanation:

We are given $\alpha$ and $\beta$ are zeros of the polynomial $x^2-(k+6)x+2(2k-1)$ .

We want to find the value of $k$ if $\alpha+\beta=\frac{1}{2}$ .

Lets use veita's formula.

By that formula we have the following equations:

$\alpha+\beta=\frac{-(-(k+6))}{1}$ (-b/a where the quadratic is ax^2+bx+c)

$\alpha \cdot \beta=\frac{2(2k-1)}{1}$ (c/a)

Let's simplify those equations:

$\alpha+\beta=k+6$

$\alpha \cdot \beta=4k-2$

If $\alpha+\beta=k+6$ and $\alpha+\beta=\frac{1}{2}$ , then $k+6=\frac{1}{2}$ .

Let's solve this for k:

Subtract 6 on both sides:

$k=\frac{1}{2}-6$

Find a common denominator:

$k=\frac{1}{2}-\frac{12}{2}$

Simplify:

$k=\frac{-11}{2}$ .

7 0

3 years ago

What’s the answer to this

tatiyna

F(-1) = -(-1) - 2 f(2) = -(2) - 2 f(4) = -(4) - 2
f(-1) = 1 - 2 f(2) = -2 - 2 f(4) = -4 - 2
f(-1) = -1 f(2) = -4 f(4) = -6

4 0

4 years ago

If ac =x+3 and db=3x-19, find ac

AveGali [126]

We need some sort of diagram to see what they are. Is there any way to say that ac = db? Either equal angles or equal lines.
x + 3 = 3x - 19 Add 19
x + 3 + 19 = 3x Subtract x
21 = 2x
x = 21 / 2
x = 10.5

ac = 10.5 + 3
x = 13.5

7 0

3 years ago

Write any fraction that is less than 1/8

kotegsom [21]

<span>Sample answers are 1/9, 1/10, etc.

Explanation:
To write a fraction less than 1/8, you can keep the numerator 1 and make the denominator any number greater than 8. 1/8 is the same as one part out of 8. Imagine having many pizzas the same size, but cut into different numbers of pieces. 1 piece out of 8 would be a bigger piece than 1 piece out of 9, out of 10, or anything more than 8.</span>

8 0

3 years ago

Read 2 more answers